# 0

## Number / From Wikipedia, the free encyclopedia

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**0** (**zero**) is a number representing an empty quantity. Adding 0 to any number leaves that number unchanged. In mathematical terminology, 0 is the additive identity of the integers, rational numbers, real numbers, and complex numbers, as well as other algebraic structures. Multiplying any number by 0 has the result 0, and consequently, division by zero has no meaning in arithmetic.

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**Quick Facts**← −1 0 1 →, Cardinal ...

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Cardinal | 0, zero, "oh" (/oʊ/), nought, naught, nil | |||

Ordinal | Zeroth, noughth, 0th | |||

Latin prefix | nulli- | |||

Binary | 0_{2} | |||

Ternary | 0_{3} | |||

Senary | 0_{6} | |||

Octal | 0_{8} | |||

Duodecimal | 0_{12} | |||

Hexadecimal | 0_{16} | |||

Arabic, Kurdish, Persian, Sindhi, Urdu | ٠ | |||

Hindu numerals | ० | |||

Chinese | 零, 〇 | |||

Burmese | ၀ | |||

Khmer | ០ | |||

Thai | ๐ | |||

Assamese, Bengali | ০ | |||

Maya numerals | 𝋠 | |||

Morse code | _ _ _ _ _ |

As a numerical digit, 0 plays a crucial role in decimal notation: it indicates that the power of ten corresponding to the place containing a 0 does not contribute to the total. For example, "205" in decimal means two hundreds, no tens, and five ones. The same principle applies in place-value notations that uses a base other than ten, such as binary and hexadecimal. The modern use of 0 in this manner derives from Indian mathematics that was transmitted to Europe via medieval Islamic mathematicians and popularized by Fibonacci. It was independently used by the Maya.

Common names for the number 0 in English include *zero*, *nought*, *naught* (/nɔːt/), and *nil*. In contexts where at least one adjacent digit distinguishes it from the letter O, the number is sometimes pronounced as *oh* or *o* (/oʊ/). Informal or slang terms for 0 include *zilch* and *zip*. Historically, *ought*, *aught* (/ɔːt/), and *cipher* have also been used.